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8536968 = 2333113593
BaseRepresentation
bin100000100100…
…001110001000
3121001201112000
4200210032020
54141140333
6502551000
7132364056
oct40441610
917051460
108536968
114900a50
122a38460
1319cb97b
1411c31d6
15b39713
hex824388

8536968 has 64 divisors (see below), whose sum is σ = 25876800. Its totient is φ = 2586240.

The previous prime is 8536961. The next prime is 8536993. The reversal of 8536968 is 8696358.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8536961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (404325).

Almost surely, 28536968 is an apocalyptic number.

8536968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8536968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12938400).

8536968 is an abundant number, since it is smaller than the sum of its proper divisors (17339832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8536968 is a wasteful number, since it uses less digits than its factorization.

8536968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3609 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 8536968 is about 2921.8090286670. The cubic root of 8536968 is about 204.3781911799.

The spelling of 8536968 in words is "eight million, five hundred thirty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 3593 7186 10779 14372 21558 28744 32337 39523 43116 64674 79046 86232 97011 118569 129348 158092 194022 237138 258696 316184 355707 388044 474276 711414 776088 948552 1067121 1422828 2134242 2845656 4268484 8536968